Evaluation of J1 and J2 integrals for curved cracks using an enriched boundary element method
Evaluation of J1 and J2 integrals for curved cracks using an enriched boundary element method
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DOI：
10.1016/j.engfracmech.2010.12.006
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发表时间：
2011-03
影响因子：
5.4
通讯作者：
R. Simpson;J. Trevelyan
中科院分区：
文献类型：
--
作者：
R. Simpson;J. Trevelyan
本文介绍了一种丰富的边界元法，其中引入的功能是已知的模型奇异性或不连续性的解空间的先验知识。引入额外的基本解来解决由丰富和数值积分例程创建的额外的未知数概述了强奇异和超奇异丰富的边界积分的评价。Muskhelishvili的无限域中的弯曲裂纹的解决方案被用来评估该方法的精度。使用适当的技术来评估J1和J2积分，它被发现，非常好的协议与精确的解决方案被认为是提高精度类似的有限元实现。
This paper introduces an enriched Boundary Element Method in which functions are introduced that are known to model singularities or discontinuities from a priori knowledge of the solution space. Additional fundamental solutions are introduced to solve for the additional unknowns created by enrichment and a numerical integration routine is outlined for the evaluation of strongly singular and hypersingular enriched boundary integrals. The solution of a curved crack in an infinite domain by Muskhelishvili is used to assess the accuracy of the method. Using an appropriate technique to evaluate J1and J2integrals, it is found that very good agreement with the exact solution is seen with improvements in accuracy over similar FEM implementations.